Vulnerability for systems described by cellular automata: Application to flood phenomena

•Concepts of spreadability in inclusion and area senses for cellular automata are introduced.•Concepts of corresponding vulnerability and vulnerability index are introduced.•An application to flood phenomena using the cellular automaton 2CAFDYM is discussed.•Some simulation results for a basin in no...

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Vydáno v:Applied Mathematical Modelling Ročník 50; s. 509 - 523
Hlavní autoři: Kassogué, Hamidou, Samed Bernoussi, Abdes
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Elsevier Inc 01.10.2017
Elsevier BV
Témata:
Adaptations
Cells
Cellular automata
Computer simulation
Cybersecurity
Digital imaging
Digital mapping
Flood
Geological mapping
Iterative methods
Object oriented programming
Satellite imagery
Simulation
Spreadability
Surface tension
Surface water
Terrain
Vulnerability
Water flow
Vulnerability
Flood
Cellular automata
Water flow
Spreadability
ISSN:0307-904X, 1088-8691, 0307-904X
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Shrnutí:•Concepts of spreadability in inclusion and area senses for cellular automata are introduced.•Concepts of corresponding vulnerability and vulnerability index are introduced.•An application to flood phenomena using the cellular automaton 2CAFDYM is discussed.•Some simulation results for a basin in northern Morocco are considered. In this paper, we introduce the vulnerability and vulnerability index for systems described by cellular automata. A zone will be vulnerable to the space-time expansion of a given property during a time horizon if the property trajectory reaches the zone at a certain time. The space-time expansion of the property known as spreadability depends closely on the property definition, the cells properties and the transition function which governs the cellular automata evolution. These constraints exhibit two types of spreadability (inclusion sense and area sense) which affect vulnerable zones. When multiple zones are vulnerable during a given time horizon, we need criteria which describe whose are the most vulnerable. Then we consider iterative, average and global vulnerability index whose use depends on the considered phenomena. As an application we consider the flood phenomena. For this we use the two scale cellular automaton for flow dynamics modeling (2CAFDYM) over a given terrain. This application requires an adaptation of the general vulnerability index in order to take into account the both horizontal and vertical distributions of surface water. As practice application, we consider simulation for a basin in northern Morocco using a simulation software we have designed in Java Object Oriented Programming. Digital terrain model, geological maps and satellite image are used for input data.
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ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2017.06.011